LEADER 07326nam 2200505 450 001 9910642705303321 005 20230211123019.0 010 $a1-119-88568-X 010 $a1-119-88566-3 010 $a1-119-88567-1 035 $a(MiAaPQ)EBC7081837 035 $a(Au-PeEL)EBL7081837 035 $a(CKB)24815166700041 035 $a(EXLCZ)9924815166700041 100 $a20230211d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aComputer models of process dynamics $efrom Newton to energy fields /$fOlis Harold Rubin 210 1$aHoboken, New Jersey :$cJohn Wiley & Sons, Incorporated,$d[2023] 210 4$d©2023 215 $a1 online resource (319 pages) 311 08$aPrint version: Rubin, Olis Harold Computer Models of Process Dynamics Newark : John Wiley & Sons, Incorporated,c2022 9781119885658 320 $aIncludes bibliographical references and index. 327 $aCover -- Title Page -- Copyright Page -- Contents -- Chapter 1 Introduction -- 1.1 Engineering uses of computer models -- 1.1.1 Mission statement -- 1.2 The subject matter -- 1.3 Mathematical material -- 1.4 Some remarks -- Bibliography -- Chapter 2 From Computer Hardware to Software -- 2.1 Introduction -- 2.2 Computing machines -- 2.2.1 The software interface -- 2.3 Computer programming -- 2.3.1 Algebraic expressions -- 2.3.2 Math functions -- 2.3.3 Computation loops -- 2.3.4 Decision making -- 2.3.5 Graphics -- 2.3.6 User defined functions -- 2.4 State transition machines -- 2.4.1 A binary signal generator -- 2.4.2 Operational control of an industrial plant -- 2.5 Difference engines -- 2.5.1 Difference equation to calculate compound interest -- 2.6 Iterative programming -- 2.6.1 Inverse functions -- 2.7 Digital simulation of differential equations -- 2.7.1 Rectangular integration -- 2.7.2 Trapezoidal integration -- 2.7.3 Second-order integration -- 2.7.4 An Example -- 2.8 Discussion -- Exercises -- References -- Chapter 3 Creative thinking and scientific theories -- 3.1 Introduction -- 3.2 The dawn of astronomy -- 3.3 The renaissance -- 3.3.1 Galileo -- 3.3.2 Newton -- 3.4 Electromagnetism -- 3.4.1 Magnetic fields -- 3.4.2 Electromagnetic induction -- 3.4.3 Electromagnetic radiation -- 3.5 Aerodynamics -- 3.5.1 Vector flow fields -- 3.6 Discussion -- References -- Chapter 4 Calculus and the computer -- 4.1 Introduction -- 4.2 Mathematical solution of differential equations -- 4.3 From physical analogs to analog computers -- 4.4 Picard's method for solving a nonlinear differential equation -- 4.4.1 Mechanization of Picard's method -- 4.4.2 Feedback model of the differential equation -- 4.4.3 Approximate solution by Taylor series -- 4.5 Exponential functions and linear differential equations. 327 $a4.5.1 Taylor series to approximate exponential functions -- 4.6 Sinusoidal functions and phasors -- 4.6.1 Taylor series to approximate sinusoids -- 4.7 Bessel's equation -- 4.8 Discussion -- Exercises -- Bibliography -- Chapter 5 Science and computer models -- 5.1 Introduction -- 5.2 A planetary orbit around a stationary Sun -- 5.2.1 An analytic solution for planetary orbits -- 5.2.2 A difference equation to model planetary orbits -- 5.3 Simulation of a swinging pendulum -- 5.3.1 A graphical construction to show the motion of a pendulum -- 5.3.2 Truncation and roundoff errors -- 5.4 Lagrange's equations of motion -- 5.4.1 A double pendulum -- 5.4.2 A few comments -- 5.4.3 Modes of motion of a double pendulum -- 5.4.4 Structural vibrations in an aircraft -- 5.5 Discussion -- Exercises -- Bibliography -- Chapter 6 Flight simulators -- 6.1 Introduction -- 6.2 The motion of an aircraft -- 6.2.1 The equations of motion -- 6.3 Short period pitching motion -- 6.3.1 Case study of short period pitching motion -- 6.3.2 State equations of short period pitching -- 6.3.3 Transfer functions of short period pitching -- 6.3.4 Frequency response of short period pitching -- 6.4 Phugoid motion -- 6.5 User interfaces -- 6.6 Discussion -- Exercises -- Bibliography -- Chapter 7 Finite element models and the diffusion of heat -- 7.1 Introduction -- 7.2 A thermal model -- 7.2.1 A finite element model based on an electrical ladder network -- 7.2.2 Free settling from an initial temperature profile -- 7.2.3 Step response test -- 7.2.4 State space model of diffusion -- 7.3 A practical application -- 7.4 Two-dimensional steady-state model -- 7.5 Discussion -- Exercises -- Bibliography -- Chapter 8 Wave equations -- 8.1 Introduction -- 8.2 Energy storage mechanisms -- 8.2.1 Partial differential equation describing propagation in a transmission line. 327 $a8.3 A finite element model of a transmission line -- 8.4 State space model of a standing wave in a vibrating system -- 8.4.1 State space model of a multiple compound pendulum -- 8.5 A two-dimensional electromagnetic field -- 8.6 A two-dimensional potential flow model -- 8.7 Discussion -- Exercises -- Bibliography -- Chapter 9 Uncertainty and softer science -- 9.1 Introduction -- 9.2 Empirical and ``black box´´ models -- 9.2.1 An imperfect model of a simple physical object -- 9.2.2 Finite impulse response models -- 9.3 Randomness within computer models -- 9.3.1 Random number generators and data analysis -- 9.3.2 Statistical estimation and the method of least squares -- 9.3.3 A state estimator -- 9.3.4 A velocity estimator -- 9.3.5 An FIR filter -- 9.4 Economic, Geo-, Bio-, and other sciences -- 9.4.1 A pricing strategy -- 9.4.2 The productivity of money -- 9.4.3 Comments on business models -- 9.5 Digital images -- 9.5.1 An image processor -- 9.6 Discussion -- Exercises -- Bibliography -- Chapter 10 Computer models in a development project -- 10.1 Introduction -- 10.1.1 The scope of this chapter -- 10.2 A motor drive model -- 10.2.1 A conceptual model -- 10.2.2 The motor drive parameters -- 10.2.3 Creating the simulation model -- 10.2.4 The electrical and mechanical subsystems -- 10.2.5 System integration -- 10.2.6 Configuration management -- 10.3 The definition phase -- 10.3.1 Selection of the motor -- 10.3.2 Simulation of load disturbances -- 10.4 The design phase -- 10.4.1 Calculation of frequency response -- 10.4.2 The current control loop -- 10.4.3 Design review and further actions -- 10.4.4 Rate feedback -- 10.5 A setback to the project -- 10.5.1 Elastic coupling between motor and load -- 10.6 Discussion -- Exercises -- Bibliography -- Chapter 11 Postscript -- 11.1 Looking back -- 11.2 The operation of a simulation facility. 327 $a11.3 Looking forward -- Bibliography -- Appendix A Frequency response methods -- Appendix B Vector analysis -- Appendix C Scalar and vector fields -- Appendix D Probability and statistical models -- Index -- EULA. 606 $aPhysics$xData processing 606 $aEngineering$xData processing 606 $aEconomics$xData processing 615 0$aPhysics$xData processing. 615 0$aEngineering$xData processing. 615 0$aEconomics$xData processing. 676 $a294.33653 700 $aRubin$b Olis$01122330 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910642705303321 996 $aComputer models of process dynamics$93010754 997 $aUNINA